Details

Time bar (total: 4.9s)

analyze736.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%74.9%25.1%8
6.2%68.6%25.1%9
7.8%67.1%25.1%10
10.1%64.7%25.1%11
14.8%47.6%37.6%12
15.8%36.8%47.4%13
16.6%35.1%48.3%14

sample53.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
11.0ms198×body80invalid
9.0ms157×body80nan

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
0518917

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (* t t) 2.0))
0.0b
(/ (* t t) 2.0)
0.2b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))
0.2b
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube
14×add-exp-log
13×add-sqr-sqrt
11×pow1 add-cube-cbrt *-un-lft-identity
7×exp-prod associate-*r*
6×times-frac associate-*l/
5×prod-exp cbrt-unprod add-log-exp
4×associate-*l* pow-prod-down
3×associate-/r*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- div-inv
1×frac-2neg clear-num sqrt-prod rem-exp-log associate-/l* unswap-sqr
Counts
4 → 77
Calls
4 calls:
2.0ms
(exp (/ (* t t) 2.0))
4.0ms
(/ (* t t) 2.0)
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))
12.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(exp (/ (* t t) 2.0))
5.0ms
(/ (* t t) 2.0)
13.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))
40.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04962983
14962983

prune171.0ms

Filtered
68 candidates to 89 candidates (-30.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New82789
Fresh101
Picked101
Done000
Total84791

Merged error: 0.3b

Counts
91 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* t t) 2.0)
0.2b
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.3b
(* (- (* x 0.5) y) (sqrt z))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube
22×add-exp-log
20×pow1
16×add-sqr-sqrt
15×associate-*r*
12×add-cube-cbrt *-un-lft-identity associate-*l/
11×prod-exp cbrt-unprod
10×pow-prod-down
7×sqrt-prod
5×associate-*l*
4×add-log-exp
3×flip3-- times-frac associate-/r* *-commutative flip--
2×cbrt-undiv div-exp unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 91
Calls
4 calls:
4.0ms
(/ (* t t) 2.0)
13.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
7.0ms
(* (- (* x 0.5) y) (sqrt z))
9.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series74.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
43.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
10.0ms
(* (- (* x 0.5) y) (sqrt z))
17.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050121257

prune168.0ms

Filtered
71 candidates to 103 candidates (-45.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New994103
Fresh516
Picked011
Done000
Total1046110

Merged error: 0.2b

Counts
110 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
0.2b
(* (* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
0.3b
(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))
0.3b
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
52×pow1
47×add-exp-log
36×add-cbrt-cube
34×pow-prod-down prod-exp cbrt-unprod
14×associate-*r*
13×add-sqr-sqrt
12×associate-*l/
11×add-cube-cbrt *-un-lft-identity associate-*l*
7×sqrt-prod
6×cbrt-prod
4×*-commutative add-log-exp
3×flip3-- flip--
2×unswap-sqr
Counts
4 → 107
Calls
4 calls:
15.0ms
(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
23.0ms
(* (* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
17.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))
10.0ms
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series114.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
44.0ms
(* (* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
15.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))
13.0ms
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify59.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
050091613

prune210.0ms

Filtered
76 candidates to 119 candidates (-56.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh044
Picked011
Done011
Total1196125

Merged error: 0.2b

Counts
125 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
0.3b
(* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0))))
0.3b
(* (sqrt z) (sqrt (sqrt 2.0)))
0.3b
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
36×pow1
34×add-cbrt-cube
30×add-exp-log sqrt-prod
26×add-sqr-sqrt
22×associate-*r* pow-prod-down
20×prod-exp cbrt-unprod
14×add-cube-cbrt *-un-lft-identity
12×associate-*l/
11×associate-*l*
6×unswap-sqr
4×*-commutative add-log-exp
3×flip3-- flip--
2×sqrt-pow1 pow1/2
1×sqrt-unprod
Counts
4 → 110
Calls
4 calls:
22.0ms
(* (* (* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
11.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0))))
7.0ms
(* (sqrt z) (sqrt (sqrt 2.0)))
15.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))

series85.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (* (* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
17.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0))))
5.0ms
(* (sqrt z) (sqrt (sqrt 2.0)))
16.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))

simplify30.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
051541692

prune241.0ms

Filtered
75 candidates to 122 candidates (-62.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1202122
Fresh213
Picked011
Done022
Total1226128

Merged error: 0.2b

Counts
128 → 6

regimes860.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03322
13322

end0.0ms

sample1.6s

Algorithm
intervals
Results
481.0ms8000×body80valid
370.0ms6197×body80invalid
266.0ms4535×body80nan

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